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Finding the Fourth Proportional to 869.03, 1,303.59 and 219.77

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Solution

The fourth proportional to 869.03, 1,303.59 and 219.77 is: 329.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.03 : 1,303.59 = 219.77 : x
  2. Step 2: Convert to fraction form
    869.03/1,303.59 = 219.77/x
  3. Step 3: Cross multiply
    869.03x = 1,303.59 × 219.77
  4. Step 4: Simplify right side
    869.03x = 286,489.97
  5. Step 5: Solve for x
    x = 286,489.97/869.03
  6. Step 6: Final answer
    x = 329.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.